The Sandwich Method is a Cage variation based on Denny Dedmore's solution. Although the method was originally designed for big cubes, it can also be used to solve the 3x3, though it is just a CF method for the 3x3 version.

Steps

First 2 centers

Corners (any method)

3 dedges on L after a z rotation

z2 rotation, 4 dedges on current L face

Last dedge of the outside layers

Bottom 2 dedges (on M)

Last 2 dedges (on M)

Last 4 centers

Heavy center control at times during steps 6 and 7 are used (using different algorithms or other tricks), and Rachmaninovian currently uses a centers system that produces a ~4 look average.